document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=580965>Question 580965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371966 by </B><A HREF=/tutors/aboutme.mpl?userid=computergeek008><B>computergeek008(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=computergeek008><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=computergeek008><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the larger number, and y be the smaller number.\r<BR>\n" );
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document.write( "The sum of two numbers is 27. So the equation would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=27 ALIGN=MIDDLE  ALT=\"x%2By=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The larger number is 3 more than the smaller number. So:\r<BR>\n" );
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document.write( "larger number = smaller number + 3\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y+%2B+3 ALIGN=MIDDLE  ALT=\"x+=+y+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, we want to get rid of x and solve for y first. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B3 ALIGN=MIDDLE  ALT=\"x=y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can substitute y+3 for x in the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=27 ALIGN=MIDDLE  ALT=\"x%2By=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Therefore:<BR>\n" );
document.write( "(y + 3) + y = 27\r<BR>\n" );
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document.write( "Combine like terms:<BR>\n" );
document.write( "2y + 3 = 27\r<BR>\n" );
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document.write( "Subtract 3 on both sides:<BR>\n" );
document.write( "2y = 24\r<BR>\n" );
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document.write( "Divide both sides by 2:<BR>\n" );
document.write( "y = 12\r<BR>\n" );
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document.write( "So the smaller number is 12. The larger number is 3 more than the smaller number, so:\r<BR>\n" );
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document.write( "x = 12 + 3<BR>\n" );
document.write( "x = 15\r<BR>\n" );
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document.write( "The 2 numbers are 12 and 15. Check:\r<BR>\n" );
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document.write( "12 + 15 = 27<BR>\n" );
document.write( "which is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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